Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions

QR Code

Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions

The purpose of this paper is to provide a full understanding of the role that the constrained generalized continuous algebraic Riccati equation plays in singular linear-quadratic (LQ) optimal control. Indeed, in spite of the vast literature on LQ problems, only recently a sufficient condition for th...

Full description

Bibliographic Details
Main Authors:	Ferrante, A., Ntogramatzidis, Lorenzo
Format:	Journal Article
Published:	Elsevier BV 2016
Online Access:	http://hdl.handle.net/20.500.11937/15322

Similar Items

Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations
by: Wang, Y., et al.
Published: (2015)

Necessary and Sufficient Optimality Conditions for Regular–Singular Stochastic Differential Games with Asymmetric Information
by: Wang, Y., et al.
Published: (2018)

Geometric conditions for the existence of solutions of singular multidimensional systems
by: Mohamed, F., et al.
Published: (2017)

A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems
by: Zhang, Xinguang
Published: (2012)

A necessary and sufficient condition of positive solutions for nonlinear singular differential systems with four-point boundary conditions
by: Zhang, Xinguang, et al.
Published: (2010)

Necessary and sufficient conditions for complementary stochastic quadratic operators of finite-dimensional simplex
by: Abdulghafor, Rawad, et al.
Published: (2017)

On the reduction of the continuous-time generalized algebraic Riccati equation: An effective procedure for solving the singular LQ problem with smooth solutions
by: Ferrante, A., et al.
Published: (2018)

Necessary and sufficient conditions for stability of impulsive switched linear systems
by: Xu, H., et al.
Published: (2011)

The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control
by: Ferrante, A., et al.
Published: (2013)

Generalized Finite-Horizon Linear-Quadratic Optimal Control
by: Ferrante, A., et al.
Published: (2014)

New results in single linear quadratic optimal control
by: Ferrante, A., et al.
Published: (2012)

Necessary and sufficient condition for the stability of process variability
by: ., Irianto
Published: (2019)

The generalised discrete algebraic Riccati equation in linear-quadratic optimal control
by: Ferrante, A., et al.
Published: (2013)

A unified approach to the finite-horizon linear quadratic optimal control problem
by: Ferrante, A., et al.
Published: (2007)

Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems
by: Gao, X., et al.
Published: (2011)

A reduction technique for generalised Riccati difference equations arising in linear-quadratic optimal control
by: Ferrante, A., et al.
Published: (2012)

Comments on “Structural Invariant Subspaces of Singular Hamiltonian Systems and Nonrecursive Solutions of Finite-Horizon Optimal Control Problems”
by: Ferrante, A., et al.
Published: (2012)

Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation
by: Damag, Faten H. M., et al.
Published: (2017)

The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control
by: Ferrante, A., et al.
Published: (2014)

On the structure of the solution of continuous-time algebraic Riccati equations with closed-loop eigenvalues on the imaginary axis
by: Ntogramatzidis, Lorenzo, et al.
Published: (2020)

Computation of regular friends for output-nulling and reachability subspaces of linear time-invariant descriptor systems
by: Kazantzidou, C., et al.
Published: (2018)

The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system
by: Ntogramatzidis, Lorenzo, et al.
Published: (2019)

On sufficient condition of ergodicity of volterra quadratic operators of bisexual population
by: Ganikhodjaev, Nasir, et al.
Published: (2014)

A necessary and sufficient condition for positive solutions for fourth-order multi-point boundary value problems with p-Laplacian
by: Zhang, Xinguang, et al.
Published: (2008)

New results in impulse-free continuous-time cheap LQ optimal control
by: Ferrante, A., et al.
Published: (2014)

On the sufficiency of finite-frame LQR optimality conditions for 2-D Roesser models
by: Ntogramatzidis, Lorenzo, et al.
Published: (2007)

On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control
by: Ferrante, Augusto, et al.
Published: (2015)

Solvability conditions for the positive real lemma equations in the discrete time
by: Ferrante, A., et al.
Published: (2017)

On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex
by: Ganikhodjaev, Nasir, et al.
Published: (2004)

On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
by: Ntogramatzidis, Lorenzo, et al.
Published: (2016)

Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
by: Guo, L., et al.
Published: (2016)

The discrete-time generalized algebraic Riccati equation: Order reduction and solutions’ structure
by: Ntogramatzidis, Lorenzo, et al.
Published: (2015)

Sufficient conditions for the existence and uniqueness of minimizers for variational problems under uncertainty
by: Verma, Mansi, et al.
Published: (2022)

Sufficient conditions for evasion in a linear differential game.
by: Ibragimov, Gafurjan, et al.
Published: (2011)

Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions
by: Liu, Lishan, et al.
Published: (2017)

Employing the algebraic Riccati equation for a parametrization of the solutions of the finite-horizon LQ problem: the discrete-time case
by: Ferrante, A., et al.
Published: (2005)

Existence of positive solutions for a singular semipositone differential system
by: Zhang, Xinguang, et al.
Published: (2008)

Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions
by: He, J., et al.
Published: (2018)

Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
by: Guo, L., et al.
Published: (2016)

A parametrization of the solutions of the finite-horizon LQ problem with general cost and boundary conditions
by: Ferrante, A., et al.
Published: (2005)