Mr Robinson had called for a meeting with PSNI Chief Constable Matt Baggott.
"I want to commend the tireless courage of my officers at this very difficult time, " Chief Constable Matt Baggott said.
BBC: Belfast flags trouble: Matt Baggott in warning to rioters
Police Service of Northern Ireland Chief Constable Matt Baggott is at Stormont for talks with the first and deputy first ministers.
BBC: North Belfast riots: Robinson and McGuinness meet Baggott
Police Service of Northern Ireland Chief Constable Matt Baggott has held talks at Stormont with the first and deputy first ministers.
BBC: North Belfast riots: Robinson and McGuinness meet Baggott
Matt Baggott made the remarks at a meeting of the policing board.
BBC: Chief constable wants urgent review of flag code of conduct
Chief Constable Matt Baggott said un-notified processions "must now come to an end" and said the Public Processions Act needed to be reviewed.
At one stage in his posting, Mr Bryson claimed Chief Constable Matt Baggott needed to use better tracking devices in a bid to locate him.
Matt Baggott told a committee of MPs that he does not want the police to be left making the decisions about whether parades should take place.
The chairman of Northern Ireland's Police Federation, Terry Spence, said he would be seeking a meeting with Chief Constable Matt Baggott to discuss officers' personal security.
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In March, Northen Ireland chief constable Matt Baggott said he would be seeking extra resources from Stormont to enable the Historical Enquiries Team to progress its work.
"You may be assured there will be sufficient resources in the event of more disorder for however long is necessary, " Chief Constable Matt Baggott said in a statement.
Earlier on Monday, Northern Ireland's chief constable, Matt Baggott said senior members of the UVF in east Belfast - as individuals - had been "increasingly orchestrating" some of the violence.
She said the Police Service of Northern Ireland's Chief Constable Matt Baggott believed senior members of the Ulster Volunteer Force (UVF) had been involved in orchestrating the violence, but without the authority of the group's leadership.
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The CJI said it commended Chief Constable Matt Baggott's commitment to improving how the police engage with communities and welcomed the ongoing work "to translate this vision of personal, professional and protective policing into day-to-day service delivery".
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