On the generalized algebraic Riccati equations

QR Code

On the generalized algebraic Riccati equations

Three hundred years have passed since Jacopo Francesco Riccati analyzed a quadratic differential equation that would have been of crucial importance in many fields of engineering and applied mathematics. Indeed, countless variations and generalizations of this equation have been considered as they p...

Full description

Bibliographic Details
Main Authors:	Ferrante, A., Ntogramatzidis, Lorenzo
Format:	Journal Article
Published:	2017
Online Access:	http://purl.org/au-research/grants/arc/DP160104994 http://hdl.handle.net/20.500.11937/58801

Similar Items

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

A reduction technique for discrete generalized algebraic and difference Riccati equations
by: Ferrante, A., et al.
Published: (2013)

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

Reduction of discrete algebraic riccati equations: Elimination of generalized eigenvalues on the unit circle
by: Ferrante, A., et al.
Published: (2018)

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

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

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

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

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)

The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part I
by: Ferrante, A., et al.
Published: (2012)

The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part II
by: Ferrante, A., et al.
Published: (2012)

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)

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)

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)

On the exact solution of the matrix Riccati differential equation
by: Ntogramatzidis, Lorenzo, et al.
Published: (2011)

On the solution of the Riccati differential equation arising from the LQ optimal control problem
by: Ntogramatzidis, Lorenzo, et al.
Published: (2009)

On the closed-form solution of the matrix Riccati differential equation for nonsign-controllable pairs
by: Ntogramatzidis, Lorenzo, 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)

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

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

A unified approach to finite-horizon generalized LQ optimal control problems for discrete-time systems
by: Ferrante, A., et al.
Published: (2007)

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

Optimal Robot-Environment Interaction Using Inverse Differential Riccati Equation
by: Nohooji, Hamed Rahimi, et al.
Published: (2019)

Application of optimal homotopy asymptotic method for the approximate solution of riccati equation
by: Fazle Mabood,, et al.
Published: (2013)

Methods For Approximating And Stabilizing The Solution Of Nonlinear Riccati Matrix Delay Differential Equation
by: Mohammedali, Khalid Hammood
Published: (2019)

Fractional Riccati equation and its applications to rough Heston model using numerical methods
by: Siow, Woon Jeng, et al.
Published: (2020)

Linear quadratic regulation for discrete-time antilinear systems: An anti-Riccati matrix equation approach
by: Wu, A., et al.
Published: (2014)

The solution of Riccati type differential equation by means of variable step size backward difference methods
by: Rasedee, Ahmad Fadly Nurullah, et al.
Published: (2016)

Magnetic torque attitude control of a satellite using the state-dependent Riccati equation technique
by: Mohammad Abdelrahman, Mohammad Ibraheem, et al.
Published: (2011)

A discussion on the discrete-time finite-horizon indefinite LQ problem
by: Ferrante, A., et al.
Published: (2016)

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

The extended symplectic pencil and the finite-horizon LQ problem with two-sided boundary conditions
by: Ferrante, A., et al.
Published: (2013)

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)

Exact tuning of PID controllers in control feedback design
by: Ntogramatzidis, Lorenzo, et al.
Published: (2011)

A note on finite-horizon LQ problems with indefinite cost
by: Ferrante, A., et al.
Published: (2015)

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

On the definition of negative imaginary system for not necessarily rational symmetric transfer functions
by: Ferrante, A., et al.
Published: (2013)

Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions
by: Ferrante, A., et al.
Published: (2016)

Exact Tuning of PID Controllers in Control Feedback Design
by: Ntogramatzidis, Lorenzo, et al.
Published: (2011)

Some new results in the theory of negative imaginary systems with symmetric transfer matrix function
by: Ferrante, A., et al.
Published: (2013)