Add to ORKGA general class of bilinear systems is shown to satisfy a nonlinear L<sub>2</sub>-gain property that naturally generalizes the standard (linear) L<sub>2</sub>-gain inequality. This property is demonstrated via direct construction of appropriate transient and gain bounds, and by the application of existing dissipation-based verification results that involve the solution of a Hamilton-Jacobi-Bellman partial differential equation. An example illustrating the obtained bounds is also included, along with a discussion concerning interconnections of such systems
AbstractSufficient conditions are given for the L2-stability of a class of feedback systems consisti...
Conditions for the non-existence of the incremental `p gain of single input discrete time linear sys...
Abstract — In this paper, minimum gain of an operator is introduced. Moreover, some of its propertie...
The conventional (linear) notion of finite L<sub>2</sub>-gain has been extensively studied and appli...
Recently it has been shown that general bilinear systems satisfy a nonlinear ℒ₂-gain property, which...
A nonlinear L₂-gain property that generalizes the conventional (linear) notion of L₂-gain for finite...
The paper establishes conditions which certify a local L2 gain for interconnections of locally stabl...
This paper develops theoretical and numerical tools for quantitative local analysis of nonlinear sys...
The stability and L2L2 performance analysis of systems consisting of an interconnection of a linear-...
The well-known Bounded Real Lemma plays a key role in ℒ<sub>2</sub>-gain based control methods such ...
Abstract. The aim of this paper is to study the Bounded Input Bounded Output (BIBO) stability of bil...
Nonlinear ℒ2-gain is a robust stability property whereby the ℒ2-norm of the state trajectory is boun...
This note uses quadratic surface Lyapunov functions (SuLFs) to efficiently check if a double integra...
This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state spa...
Abstract: This paper uses quadratic surface Lyapunov functions to eÆciently check if a double integr...
AbstractSufficient conditions are given for the L2-stability of a class of feedback systems consisti...
Conditions for the non-existence of the incremental `p gain of single input discrete time linear sys...
Abstract — In this paper, minimum gain of an operator is introduced. Moreover, some of its propertie...
The conventional (linear) notion of finite L<sub>2</sub>-gain has been extensively studied and appli...
Recently it has been shown that general bilinear systems satisfy a nonlinear ℒ₂-gain property, which...
A nonlinear L₂-gain property that generalizes the conventional (linear) notion of L₂-gain for finite...
The paper establishes conditions which certify a local L2 gain for interconnections of locally stabl...
This paper develops theoretical and numerical tools for quantitative local analysis of nonlinear sys...
The stability and L2L2 performance analysis of systems consisting of an interconnection of a linear-...
The well-known Bounded Real Lemma plays a key role in ℒ<sub>2</sub>-gain based control methods such ...
Abstract. The aim of this paper is to study the Bounded Input Bounded Output (BIBO) stability of bil...
Nonlinear ℒ2-gain is a robust stability property whereby the ℒ2-norm of the state trajectory is boun...
This note uses quadratic surface Lyapunov functions (SuLFs) to efficiently check if a double integra...
This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state spa...
Abstract: This paper uses quadratic surface Lyapunov functions to eÆciently check if a double integr...
AbstractSufficient conditions are given for the L2-stability of a class of feedback systems consisti...
Conditions for the non-existence of the incremental `p gain of single input discrete time linear sys...
Abstract — In this paper, minimum gain of an operator is introduced. Moreover, some of its propertie...