Add to ORKGNorms for operators play a fundamental role in the stability and approximation theory of linear and nonlinear systems. This note describes how certain induced operator norms can be bounded for continuous and discrete systems using plant step response data only
For an optimization problem with an norm objective function subject to an norm inequality constrai...
This paper is concerned with linear time-invariant (LTI) sampled-data systems (by which we mean samp...
Different norms are considered to replace the Euclidean norm in an algorithm given by M. H. K. Fan a...
Both supremum norms and 2-norms have found a huge number of applications as fitting and approximatio...
AbstractThis paper develops a validated numerical algorithm to compute the L∞-norm, a norm which pla...
The nonlinear variations of constants formula is used to derive state estimates when a nonlinear sys...
A boundedness theorem is derived for a commonly encountered class of memoryless non-linearities in m...
The theory of linear systems has been developed over many years into a unified collection of results...
Key Words--Sampled-data systems; digital control; induced operator norms; performance analysis; disc...
In his 1958 thesis Stability and Error Bounds, Germund Dahlquist introduced the logarithmic norm in ...
In problems involving the optimization of atomic norms, an upper bound on the dual atomic norm often...
This paper tackled the problem of characterizing the induced norm from L₂ to L∞ in single-input/sing...
In this paper, we consider a general linear interconnection of a continuous-time plant and a discret...
This study deals with the L₁ analysis of stable finite-dimensional linear time-invariant (LTI) syste...
This paper considers linear time-invariant (LTI) sampled-data systems and studies their generalized ...
For an optimization problem with an norm objective function subject to an norm inequality constrai...
This paper is concerned with linear time-invariant (LTI) sampled-data systems (by which we mean samp...
Different norms are considered to replace the Euclidean norm in an algorithm given by M. H. K. Fan a...
Both supremum norms and 2-norms have found a huge number of applications as fitting and approximatio...
AbstractThis paper develops a validated numerical algorithm to compute the L∞-norm, a norm which pla...
The nonlinear variations of constants formula is used to derive state estimates when a nonlinear sys...
A boundedness theorem is derived for a commonly encountered class of memoryless non-linearities in m...
The theory of linear systems has been developed over many years into a unified collection of results...
Key Words--Sampled-data systems; digital control; induced operator norms; performance analysis; disc...
In his 1958 thesis Stability and Error Bounds, Germund Dahlquist introduced the logarithmic norm in ...
In problems involving the optimization of atomic norms, an upper bound on the dual atomic norm often...
This paper tackled the problem of characterizing the induced norm from L₂ to L∞ in single-input/sing...
In this paper, we consider a general linear interconnection of a continuous-time plant and a discret...
This study deals with the L₁ analysis of stable finite-dimensional linear time-invariant (LTI) syste...
This paper considers linear time-invariant (LTI) sampled-data systems and studies their generalized ...
For an optimization problem with an norm objective function subject to an norm inequality constrai...
This paper is concerned with linear time-invariant (LTI) sampled-data systems (by which we mean samp...
Different norms are considered to replace the Euclidean norm in an algorithm given by M. H. K. Fan a...